I was in my thinking room today, and it came about that I really don't like Batman being involved in cosmic problems. Something like Final Crisis or Blackest Night is fine because that's bringing the fight TO Earth.
But many of the stories in Justice League and the like just seem too far out to believe. I wish the Bat-Family was relegated to a corner of the DC Universe, not to far from how Marvel treats the X-men. Where as the Marvel Universe seems very connected, but the X-men characters don't usually get involved unless it's some global crisis.
It's hard for me to grasp why when you have heroes like Superman, Martian Manhunter, and the Green Lanterns, that you really need Batman to come help fight a war for the alien nations of Xthanthar VII. If Batman wanted to be some sort of financial backer, and allow the Justice League access to his cool gadgets, that's fine. In fact, I think he works best as a character that helps the way a Detective helps a police investigation... but overall, Batman needs to keep his cape in Gotham.